The ratio of boys to girls at Longwood High School is 6:7. There are 1,722 girls in the High School. Write and solve a proportion that could be used to find out how many boys are in the High School. All algebraic steps must be shown for full credit. and steps algebraically.

Answer:

2+4+5 or 5+4+2 it functions in all the ways Simce it is sum XD

Answer: See explanation

Step-by-step explanation:

Second term = a + d = 28 ....... i

Fifth term = a + 4d = 52 ......... ii

Subtract equation I from ii

3d = 24

d = 24/3 = 8

d = common difference = 8

Since a + d = 28

a + 8 = 28

a = 28 - 8 = 20

First term = a = 20

u10 = a + (n-1)d

= a + (10-1)8

= 20 + (9 × 8)

= 20 + 72

= 92

Answer:

m=0,b for -2/3 x-4

Step-by-step explanation:

..........

Answer:

0.9222222222222222/1

Step-by-step explanation:

Answer:

-11.3 is the answer

Step-by-step explanation:

because -3.4-7.9= -11.3

Answer:

2 hours and 24 minutes.

Answer:

1. D

2. A

3. H

4. C

5. G

Step-by-step explanation:

Step-by-step explanation:

la respuesta es la letra C

Answer:

First distribute the 3

(3x + 12)(x - 5)

Multiply

3x - 3x - 60

Step-by-step explanation:

Answer:

1 and 4 and 2

Step-by-step explanation:

Answer:

4/9 is the answer.

Answer:

there is more red marbles then the others

Step-by-step explanation:

Answer:

D 565.2 in

Step-by-step explanation:

First you need to find the area of the stepping stone. The rule for area of circle is pi times radius squared. To find the radius you divide 12 by 2 = 6. After you do 6 times 6= 36 you multiply 36 times pi (3.14) = 113.04. After we find the are of the stepping stone we multiply it by five to get how many inches we have to cover. 113.04 times 5= 565.2 in.

9514 1404 393

Answer:

  (B)  stretch & reflection

Step-by-step explanation:

The original function is multiplied by -1.7. This has a negative sign, so will cause the graph to be reflected across the x-axis. The magnitude is greater than 1, so the reflected function will be a stretch of the original.

Answer: Michael's paycheque = $ 1704

Donald's paycheque =  $ 568

Jacob's paycheque = $ 648

Step-by-step explanation:

Let x = Michael's paycheque

Donald's paycheque = [tex]\dfrac13x[/tex]

Jacob's paycheque = [tex]\dfrac 13 x+80[/tex]

Together, the three friends earned $2920 in one week.

[tex]\Rightarrow\ x+\dfrac13x+\dfrac13 x+80=2920\Rightarrow\ (\dfrac{3+1+1}{3})x=2920-80\\\\\Rightarrow\ \dfrac{5}{3}x=2840\\\\\Rightarrow\ x=2840\times\dfrac{3}{5}\\\\\Rightarrow\ x=1704[/tex]

Michael's paycheque = $ 1704

Donald's paycheque = [tex]\dfrac{1704}{3}=\$ 568[/tex]

Jacob's paycheque = $ 568+80 = $ 648

Answer:

Below in bold.

Step-by-step explanation:

If we draw a line  from top right vertex perpendicular to the  bottom line we get a right triangle.

Height of this triangle = sqrt(5^2 - 3^2) = 4.

This is also the height of the polygon.

The polygon is a trapezium so:

Area of the polygon = 1/2(5 + 8) * 4

= 6/5 * 4

= 26 m^2.

Answer: 4/12

Step-by-step explanation: 4 over 12

Answer:

-8a(a-5)

Step-by-step explanation:

-8a^2+40a

-8a(a-5)

Answer:

3

Step-by-step explanation:

I'm going to assume you meant "How many 2/9 cup serving are in 7/9 cup of juice" (since there are no 7/9 cups of serving in 2/9 cups of juice, since 7/9>2/9, and you can't have a serving of something greater than the amount you have).

In this case:

7/9 divided by 2/9=3

Since 7/9 and 2/9 have the same denominater, you can cross them off, since when you divide them, 9 divided by 9=1. 7 divided by 2=3.5, but I'll assume you want full cups.

Answer:

V = 14 m/s

Step-by-step explanation:

[tex]E = MV^2 ÷ 2 + mgh \\ \\ 4900 = 20V^2 ÷ 2 + 20 \times 9.8 \times 15 \\ \\ 4900 = 10V^2 + 2,940\\ \\ 4900 - 2940 = 10V^2 \\ \\ 1960 = 10V^2 \\ \\ V^2 = \frac{1960}{10} \\ \\ V^2 = 196 \\ \\ V = \sqrt{196} \\ \\ V = 14 \: m {s}^{ - 1} [/tex]

Step-by-step explanation:

4/7÷21/3

=4/7*3/21

=12/147

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex] ← change mixed number to improper fraction

= [tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]

To perform the division

Leave the first fraction. change division to multiplication and turn the second fraction upside down.

= [tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] ← multiply numerators/ denominators together

= [tex]\frac{4(3)}{7(7)}[/tex]

= [tex]\frac{12}{49}[/tex]

Answer:

40 minutes

Step-by-step explanation:

 Math Problems                   3              15

 ----------------------                  -----     =    ------

       Minutes                          8              x

                                             3x = 15 * 8

                                               x = 15 * 8 / 3

                                               x = 120 / 3

                                               x = 40

                                                  40 Minutes

Answer:

UK

Step-by-step explanation:

Answer:

hey there

x = 4

Step-by-step explanation:

Let's solve your equation step-by-step.

−8−x=x−4x

Step 1: Simplify both sides of the equation.

−8−x=x−4x

−8+−x=x+−4x

−x−8=(x+−4x)(Combine Like Terms)

−x−8=−3x

−x−8=−3x

Step 2: Add 3x to both sides.

−x−8+3x=−3x+3x

2x−8=0

Step 3: Add 8 to both sides.

2x−8+8=0+8

2x=8

Step 4: Divide both sides by 2.

2x/2  = 8/2

x= 4

have a good day!!!

Answer:

x= 4

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

K

Step-by-step explanation:

techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477

Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

[tex]f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\[/tex]

[tex]f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)[/tex]

[tex] \huge {\tt{Answer:}} [/tex]

A. DE

Option (A) DE side of the triangle DEF is the longest side.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The diagram shows the triangle with angles ∠D = 65°, ∠E = 42°.

The sum of the interior angles of a triangle is equal to 180°.

⇒ [tex]\angle D+\angle E+\angle F=180[/tex]

⇒ [tex]65+42+ \angle F=180[/tex]

⇒ [tex]\angle F=180-107[/tex]

⇒ [tex]\angle F=73[/tex]

The side corresponding to the ∠D is EF,  ∠E is DF,  ∠F is DE

The angle which is greater has the longest side.

⇒ [tex]\angle F > \angle D > \angle E[/tex]

⇒ [tex]DE > EF > DF[/tex]

Thus the side DE has the longest length.

Hence we can conclude that option (A) DE side of the triangle DEF is the longest side.

Learn more about triangles here  

https://brainly.com/question/14759217

#SPJ2

Answer:

400 markers.

Step-by-step explanation:

4,000 × ¹/10 = 400.

.Answer:

To calculate a/b of some number c, where a, b, and c are any number, we do the following: a/b x c

Step-by-step explanation:

1/10 x 4,000 = 4,000/10

400 x 10

    10

= 400

= 4 x 100

= 4 x 10 2

400 = 4 x 10 2 markers

Answer:

7.44

Step-by-step explanation:

With reference angle 28°

perpendicular (p) = x

base (b) = 14 cm

Now

Tan 28° = p / b

0.532 = x / 14

x = 7.44

Hope it will help :)

Answer:

Step-by-step explanation:

Answer:

I think opinion a. If it is wrong Iam sorry